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Simplifying 5(-2a + 7) = 7 + -6a Reorder the terms: 5(7 + -2a) = 7 + -6a (7 * 5 + -2a * 5) = 7 + -6a (35 + -10a) = 7 + -6a Solving 35 + -10a = 7 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 35 + -10a + 6a = 7 + -6a + 6a Combine like terms: -10a + 6a = -4a 35 + -4a = 7 + -6a + 6a Combine like terms: -6a + 6a = 0 35 + -4a = 7 + 0 35 + -4a = 7 Add '-35' to each side of the equation. 35 + -35 + -4a = 7 + -35 Combine like terms: 35 + -35 = 0 0 + -4a = 7 + -35 -4a = 7 + -35 Combine like terms: 7 + -35 = -28 -4a = -28 Divide each side by '-4'. a = 7 Simplifying a = 7
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